Here we present various univariate Sobolev-type fractional inequalities involving fractional derivatives of Canavati, Riemann—Liouville, and Caputo types. The results are general L p inequalities forward and converse on a closed interval. We give an application to a fractional ODE. We present also the mean Sobolev-type fractional inequalities. This treatment relies on [56].
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© 2009 Springer-Verlag New York
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Anastassiou, G.A. (2009). Various Sobolev–Type Fractional Inequalities. In: Fractional Differentiation Inequalities. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98128-4_18
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DOI: https://doi.org/10.1007/978-0-387-98128-4_18
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